216160807590 has 384 divisors, whose sum is σ = 730196812800. Its totient is φ = 43084016640.

The previous prime is 216160807567. The next prime is 216160807633. The reversal of 216160807590 is 95708061612.

216160807590 is a `hidden beast` number, since 21 + 616 + 0 + 8 + 0 + 7 + 5 + 9 + 0 = 666.

It is a super-2 number, since 2×216160807590² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60530505 + ... + 60534075.

It is an arithmetic number, because the mean of its divisors is an integer number (1901554200).

Almost surely, 2^216160807590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216160807590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365098406400).

216160807590 is an abundant number, since it is smaller than the sum of its proper divisors (514036005210).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216160807590 is a wasteful number, since it uses less digits than its factorization.

216160807590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4009 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 216160807590 in words is "two hundred sixteen billion, one hundred sixty million, eight hundred seven thousand, five hundred ninety".